Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

This paper presents a review of the current state-of-the-art of numerical methods for
stochastic computations. The focus is on efficient high-order methods suitable for practical …

Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

This review paper addresses the so called geometric multiscale approach for the numerical
simulation of blood flow problems, from its origin (that we can collocate in the second half …

As we shift from population‐based medicine towards a more precise patient‐specific regime
guided by predictions of verified and well‐established cardiovascular models, an urgent …

We compare results from numerical simulations of pulsatile blood flow in two patient-specific
intracranial arterial networks using one-dimensional (1D) and three-dimensional (3D) …

Key points Mathematical and computational models of cardiac physiology have been an
integral component of cardiac electrophysiology since its inception, and are collectively …

Models of cardiac mechanics are increasingly used to investigate cardiac physiology. These
models are characterized by a high level of complexity, including the particular anisotropic …

In simulation of cardiovascular processes and diseases patient-specific model parameters,
such as constitutive properties, are usually not easy to obtain. Instead of using population …

This work aims at identifying and quantifying uncertainties from various sources in human
cardiovascular system based on stochastic simulation of a one‐dimensional arterial …